Stability Analysis of the Ribosome Flow Model

Michael Margaliot, Tamir Tuller
2012 IEEE/ACM Transactions on Computational Biology & Bioinformatics  
Gene translation is a central process in all living organisms. Developing a better understanding of this complex process may have ramifications to almost every biomedical discipline. Recently, Reuveni et al. proposed a new computational model of this process called the ribosome flow model (RFM). In this study, we show that the dynamical behavior of the RFM is relatively simple. There exists a unique equilibrium point e and every trajectory converges to e. Furthermore, convergence in monotone in
more » ... ence in monotone in the sense that the distance to e can never increase. This qualitative behavior is maintained for any feasible set of parameter values, suggesting that the RFM is highly robust. Our analysis is based on a contraction principle and the theory of monotone dynamical systems. These analysis tools may prove useful in studying other properties of the RFM as well as additional intracellular biological processes. Index Terms-Gene translation, systems biology, computational models, monotone dynamical systems, tridiagonal cooperative systems. ! • M. Margaliot is with the School of Electrical Engineering and the Sagol Michael Margaliot received the BSc (cum laude) and MSc degrees in Electrical Engineering from the Technion-Israel Institute of Technologyin 1992 and 1995, respectively, and the PhD degree (summa cum laude) from Tel Aviv University in 1999.
doi:10.1109/tcbb.2012.88 pmid:22732691 fatcat:7fnowm5bvbc4pbej3tetwoows4